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10023133404 = 2233135937499
BaseRepresentation
bin10010101010110110…
…01110000011011100
3221212112021221012010
421111123032003130
5131011410232104
64334330311220
7503245141164
oct112533160334
927775257163
1010023133404
114283885529
121b38888510
13c39729b8b
146b12655a4
153d9e2c489
hex2556ce0dc

10023133404 has 48 divisors (see below), whose sum is σ = 24151680000. Its totient is φ = 3231937920.

The previous prime is 10023133399. The next prime is 10023133409. The reversal of 10023133404 is 40433132001.

10023133404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10023133399) and next prime (10023133409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023133409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1332847 + ... + 1340345.

It is an arithmetic number, because the mean of its divisors is an integer number (503160000).

Almost surely, 210023133404 is an apocalyptic number.

It is an amenable number.

10023133404 is an abundant number, since it is smaller than the sum of its proper divisors (14128546596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10023133404 is a wasteful number, since it uses less digits than its factorization.

10023133404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130 (or 11128 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10023133404 its reverse (40433132001), we get a palindrome (50456265405).

The spelling of 10023133404 in words is "ten billion, twenty-three million, one hundred thirty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 3593 7186 7499 10779 14372 14998 21558 22497 29996 43116 44994 89988 111383 222766 232469 334149 445532 464938 668298 697407 929876 1336596 1394814 2789628 26943907 53887814 80831721 107775628 161663442 323326884 835261117 1670522234 2505783351 3341044468 5011566702 10023133404